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Oct 1, 2016 at 22:53 comment added 54321user Thank you. Looking around mathoverflow leads to this post mathoverflow.net/questions/20675/…
Sep 30, 2016 at 5:45 comment added Mariano Suárez-Álvarez Well, if $A$ is an good ol' algebra, this means that $A$ has finite projective dimension as an $A$-bimodule and, additionally, that it has a projective resolution by finitely generated projectives. The first condition is one of regularity and the second one one of finiteness. The corresponding notion of smoothness is a standard one that shows up all over the place.
Sep 29, 2016 at 23:07 history asked 54321user CC BY-SA 3.0